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Finding the Fourth Proportional to 4,627.98, 6,944.46 and 3,361.64

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Solution

The fourth proportional to 4,627.98, 6,944.46 and 3,361.64 is: 5,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.98 : 6,944.46 = 3,361.64 : x
  2. Step 2: Convert to fraction form
    4,627.98/6,944.46 = 3,361.64/x
  3. Step 3: Cross multiply
    4,627.98x = 6,944.46 × 3,361.64
  4. Step 4: Simplify right side
    4,627.98x = 23,344,774.51
  5. Step 5: Solve for x
    x = 23,344,774.51/4,627.98
  6. Step 6: Final answer
    x = 5,044.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.